題  目：Glueing constructions in Lagrangian mean curvature flow

日  期：113年3月12日（星期二）

時  間：下午14:30開始

地  點：科學館S433

摘要Abstract:

Glueing construction has been extensively utilized to construct solutions to nonlinear geometric PDEs. In this talk, I will focus on the glueing construction of solutions to Lagrangian mean curvature flow. Specifically, in the first part of the talk, I will explain the construction of Lagrangian translating solitons by glueing a small special Lagrangian ‘Lawlor neck’ into the intersection point of suitably rotated Lagrangian Grim Reaper cylinders. In the second part of the talk, I will discuss a recent joint work with Chung-Jun Tsai and Albert Wood on the glueing construction of solutions to Lagrangian mean curvature flow with infinite time singularities. The flow we constructed presents the following interesting behaviour: it starts from an embedded submanifold with a small ’neck’ and converges, as time goes to infinity, to an immersed submanifold where the necks pinch to the immersed point.

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